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3430504050 = 2352236911439
BaseRepresentation
bin1100110001111001…
…0101011001110010
322212002002122212120
43030132111121302
524011202112200
61324223335110
7151003542351
oct31436253162
98762078776
103430504050
111500480516
127b8a51496
1342894636c
1424786b998
151512809a0
hexcc795672

3430504050 has 96 divisors (see below), whose sum is σ = 8896573440. Its totient is φ = 873153600.

The previous prime is 3430503977. The next prime is 3430504057. The reversal of 3430504050 is 504050343.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3430504050.

It is not an unprimeable number, because it can be changed into a prime (3430504057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2383231 + ... + 2384669.

It is an arithmetic number, because the mean of its divisors is an integer number (92672640).

Almost surely, 23430504050 is an apocalyptic number.

3430504050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430504050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448286720).

3430504050 is an abundant number, since it is smaller than the sum of its proper divisors (5466069390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3430504050 is a wasteful number, since it uses less digits than its factorization.

3430504050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3430504050 is about 58570.5049491636. The cubic root of 3430504050 is about 1508.1781530642.

Adding to 3430504050 its reverse (504050343), we get a palindrome (3934554393).

The spelling of 3430504050 in words is "three billion, four hundred thirty million, five hundred four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 691 1150 1382 1439 1725 2073 2878 3450 3455 4146 4317 6910 7195 8634 10365 14390 15893 17275 20730 21585 31786 33097 34550 35975 43170 47679 51825 66194 71950 79465 95358 99291 103650 107925 158930 165485 198582 215850 238395 330970 397325 476790 496455 794650 827425 992910 994349 1191975 1654850 1988698 2383950 2482275 2983047 4964550 4971745 5966094 9943490 14915235 22870027 24858725 29830470 45740054 49717450 68610081 74576175 114350135 137220162 149152350 228700270 343050405 571750675 686100810 1143501350 1715252025 3430504050